Magma V2.19-8 Tue Aug 20 2013 16:14:55 on localhost [Seed = 206409832] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s904 geometric_solution 5.66569972 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 -1 2 0 0 -1 1 0 -1 0 1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717101871454 0.741820406295 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486458066801 0.665803429936 3 0 4 5 3201 0132 3201 2310 0 0 0 0 0 1 -1 0 0 0 1 -1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486458066801 0.665803429936 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.271979430161 1.162531512585 2 4 1 4 2310 2310 0132 3201 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549618073570 1.586996743134 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411534044554 0.593343218134 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 79397/5681*c_0101_5^8 - 20283/5681*c_0101_5^7 + 168877/5681*c_0101_5^6 + 594177/5681*c_0101_5^5 - 456408/5681*c_0101_5^4 - 34405/247*c_0101_5^3 + 369221/5681*c_0101_5^2 + 20301/437*c_0101_5 - 228773/5681, c_0011_0 - 1, c_0011_4 + 242/437*c_0101_5^8 - 79/437*c_0101_5^7 + 638/437*c_0101_5^6 + 1688/437*c_0101_5^5 - 1194/437*c_0101_5^4 - 71/19*c_0101_5^3 + 553/437*c_0101_5^2 + 132/437*c_0101_5 - 249/437, c_0101_0 + 9/19*c_0101_5^8 - 6/19*c_0101_5^7 + 22/19*c_0101_5^6 + 51/19*c_0101_5^5 - 70/19*c_0101_5^4 - 74/19*c_0101_5^3 + 23/19*c_0101_5^2 + 36/19*c_0101_5 - 4/19, c_0101_1 + 37/437*c_0101_5^8 - 50/437*c_0101_5^7 + 177/437*c_0101_5^6 + 45/437*c_0101_5^5 - 197/437*c_0101_5^4 + 1/19*c_0101_5^3 - 524/437*c_0101_5^2 + 338/437*c_0101_5 + 296/437, c_0101_2 + 141/437*c_0101_5^8 - 37/437*c_0101_5^7 + 332/437*c_0101_5^6 + 951/437*c_0101_5^5 - 609/437*c_0101_5^4 - 65/19*c_0101_5^3 + 259/437*c_0101_5^2 + 792/437*c_0101_5 - 183/437, c_0101_5^9 + 2*c_0101_5^7 + 8*c_0101_5^6 - 4*c_0101_5^5 - 12*c_0101_5^4 + 2*c_0101_5^3 + 5*c_0101_5^2 - 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB